126212640 has 96 divisors (see below), whose sum is σ = 411324480. Its totient is φ = 32492544.

The previous prime is 126212633. The next prime is 126212683. The reversal of 126212640 is 46212621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126212640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9387 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (4284630).

Almost surely, 2^126212640 is an apocalyptic number.

126212640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205662240).

126212640 is an abundant number, since it is smaller than the sum of its proper divisors (285111840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126212640 is a wasteful number, since it uses less digits than its factorization.

126212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9114 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 126212640 is about 11234.4399059321. The cubic root of 126212640 is about 501.6116529017.

The spelling of 126212640 in words is "one hundred twenty-six million, two hundred twelve thousand, six hundred forty".